Supersymmetric Calogero models by gauging

TL;DR

This paper develops new supersymmetric extensions of Calogero models in one dimension by gauging U(n) symmetries, covering N=1, N=2, and N=4 supersymmetries, and introduces novel superconformal systems.

Contribution

It presents a systematic method to construct superconformal Calogero models via gauging matrix superfield models for multiple supersymmetry cases.

Findings

N=1 and N=2 models have the standard conformal Calogero core.

N=4 model extends the U(2)-spin Calogero system.

New superconformal extensions are achieved through gauging.

Abstract

New superconformal extensions of d=1 Calogero-type systems are obtained by gauging the U(n) isometry of matrix superfield models. We consider the cases of N=1, N=2 and N=4 one-dimensional supersymmetries. The bosonic core of the N=1 and N=2 models is the standard conformal A_{n-1} Calogero system, whereas the N=4 model is an extension of the U(2)-spin Calogero system.